Lie Algebras and Applications

• Κύριος συγγραφέας: Iachello, Francesco (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Έκδοση: 2nd ed. 2015.
• Σειρά: Lecture Notes in Physics, 891
• Θέματα: Physics.; Mathematical physics.; Quantum physics.; Nuclear physics.; Atoms.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.; Quantum Physics.; Particle and Nuclear Physics.; Atomic, Molecular, Optical and Plasma Physics.

This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part inclu...

Πίνακας περιεχομένων:

• Basic Concepts
• Semisimple Lie Algebras
• Lie Groups
• Lie Algebras and Lie Groups
• Homogeneous and Symmetric Spaces (Coset Spaces). - Irreducible Bases (Representations)
• Casimir Operators and Their Eigenvalues
• Tensor Operators
• Boson Realizations
• Fermion Realizations
• Differential Realizations
• Matrix Realizations
• Coset Spaces
• Spectrum Generating Algebras and Dynamic Symmetries
• Degeneracy Algebras and Dynamical Alebras
• Index.